Home
Class 12
MATHS
Form the differential equation represent...

Form the differential equation representing the family of curves `y^(2)-2ay+x^(2)= a^(2)`, where a is an arbitrary constant.

Text Solution

Verified by Experts

The correct Answer is:
`(x^(2)-2y^(2))((dy)/(dx))^(2)=x^(2)+4xy((dy)/(dx))`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (SHORT ANSWER TYPE QUESTIONS)|11 Videos
  • DETERMINANTS

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE |39 Videos
  • INTEGRATION

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (6 MARK)|4 Videos

Similar Questions

Explore conceptually related problems

Form the differential equation representing the family of curves y^(2)-2ay+x^(2)=alpha^(2), where alpha is an arbitrary constant.

Form the differential equation representing the family of curves y^(2)-2ay+x^(2)=alpha^(2), where alpha is an arbitrary constant.

Form the differential equation representing the family of curves y = a cos (x + b) .

Find the differential equation representing family of curves given by (x- a)^2 + 2y^2 = a^2 where a is an arbitrary constant.

Write the differential equation representing the family of curves y= mx , where m is an arbitrary constant.

Form the differential equation for the family of the curves y^(2)=a(b-x)(b+x) , where a and b are arbitrary constants.

Form the differential equation of the family of curve y= (dy)/(dx)=(x^(2))/(y^(2)).

Form the differential equation of the family of all curves of radius r.

Form the differential equation for the family of curves ay^(2)=(x-c)^(3) , where c is a parameter.

Find the differential equation of the family of curves given by x^(2)+y^(2)=2ax .